Search for the possible S=+1 Pentaquark states in Quenched Lattice QCD

Abstract

We study spin $\frac{1}{2}$ hadronic states in quenched lattice QCD to search for a possible $S=+1$ pentaquark resonance. Simulations are carried out on $8^3\times 24$, $10^3\times 24$, $12^3\times 24$ and $16^3\times 24$ lattices at $\beta$=5.7 at the quenched level with the standard plaquette gauge action and the Wilson quark action. We adopt a Dirichlet boundary condition in the time direction for the quark to circumvent the possible contaminations due to the (anti)periodic boundary condition for the quark field, which are peculiar to the pentaquark. By diagonalizing the $2\times 2$ correlation matrices constructed from two independent operators with the quantum numbers $(I,J)=(0,\frac{1}{2})$, we successfully obtain the energies of the lowest state and the 2nd-lowest state in this channel. The analysis of the volume dependence of the energies and spectral weight factors indicates that a resonance state is likely to exist slightly above the NK threshold in $(I,J^P)=(0,{\frac{1}{2}}^{-})$ channel.

21 pages, 14 figures, 1 table; v2: "N_eff" in Sec.4 was changed to "N_fit" to avoid the confusion in the notation; v3: The discussions in Sec.6 were made clearer. Sec7,8,9B were slightly modified. Some references were added; v4: accepted version

References in corpus (10)

• Exotica
• A study of pentaquarks on the lattice with overlap fermions
• First Study for the Pentaquark Potential in SU(3) Lattice QCD
• Penta-quark baryon in anisotropic lattice QCD
• Theoretical Overview of the Pentaquark Baryons
• Detailed analysis of the gluonic excitation in the three-quark system in lattice QCD
• The static tetraquark and pentaquark potentials
• Phenomenology of spin 3/2 baryons with pentaquarks
• Baryonic hybrids: Gluons as beads on strings between quarks
• Theta++ from QCD sum rule

Cited by in corpus (25)

• Constant contribution in meson correlators at finite temperature
• Five-body calculation of resonance and scattering states of pentaquark system
• Charmonium-nucleon potential from lattice QCD
• Charmonium properties in deconfinement phase in anisotropic lattice QCD
• Axial charges of N(1535) and N(1650) in lattice QCD with two flavors of dynamical quarks
• Multiparticle States and the Hadron Spectrum on the Lattice
• On the Existence of Heavy Pentaquarks: The large Nc and Heavy Quark Limits and Beyond
• Spin 3/2 Pentaquark Resonance Signature in Lattice QCD
• Low-lying $\Lambda$ Baryons with spin 1/2 in Two-flavor Lattice QCD
• Spin 3/2 Penta-quarks in anisotropic lattice QCD
• A comprehensive search for the Θ^+ pentaquark on the lattice
• Pentaquark state in pole-dominated QCD sum rules
• Absence of evidence for pentaquarks on the lattice
• Scalar-Quark Systems and Chimera Hadrons in SU(3)_c Lattice QCD
• Volume Dependence of Spectral Weights for Unstable Particles in a Solvable Model
• Possible quantum numbers of the pentaquark Θ^+(1540) in QCD sum rules
• A Review of Pentaquark Calculations on the Lattice
• Spin-3/2 Pentaquark in QCD Sum Rules
• Lattice QCD study of $g_A^{N^{\ast }{N}^{\ast }}$ with two flavors of dynamical quarks
• A general study on the volume dependence of spectral weights in lattice field theory
• Tetraquark and Pentaquark Systems in Lattice QCD
• Two-flavor lattice QCD study of the axial charges of N(1535) and N(1650)
• More on volume dependence of spectral weight function
• P-wave Pentaquark and its Decay in the Quark Model with Instanton Induced Interaction
• Mass Spectra of Pentaquarks -- Overlap versus Wilson Fermions